+1124 Hello all my good friends!!!..I hope the lockdown is treating you guys okay...
I have a question please.
without simplifying, show whether the following products are the sum or the difference of two cubes.
1). \((2x+1)(x^2-2x+1)\)
2). \((x+3)(x^2-3x+9)\)
3). \((x-3)(x^2-3x+9)\)
4. \((x-3)(x^2+3x+9)\)
I said: #1 is neither,
#2 is sum,
#3 is neither
#4 is difference.
because, two cubes added or subtracted will always have the short term, the same sign as he original, the first sign in the long term will always be opposite to sign in short term and the second sign is always positive.
secondly, the first term in the short term is always squared in the long term (first term), the 2nd term in the long term is the product of the two terms in the short term and the second term in the short term, is also squared as the third term in the long term...ooohhh my goodness...
..does this make sense?..lol
Am I correct with my answers and my thinking?...Thank you all kindly once again for your feedback..
